All categories

3 years ago

Solve the system using elimination.

Mathematics

1 answer:

expeople1 [14]3 years ago

3 0

Answer:

(- 9, - 9)

Step-by-step explanation:

Given the 2 equations

3x - 4y = 9 → (1)

- 3x + 2y = 9 → (2)

Adding (1) and (2) will eliminate the term in x

(1) + (2) term by term

(3x - 3x) + (- 4y + 2y) = (9 + 9)

0 - 2y = 18

- 2y = 18 ( divide both sides by - 2 )

y = - 9

Substitute y = - 9 into (1) or (2) and evaluate for x

(1) → 3x + 36 = 9 ( subtract 36 from both sides )

3x = - 27 ( divide both sides by 3 )

x = - 9

Solution is (- 9, - 9)

You might be interested in

Suppose that circles A and B have a central angle measuring 100°. Additionally, the measure of the sector for circle A is 10π m2

34kurt

12 m

10π40π = 62x2
x = 12

When circles have the same central angle measure, the ratio of measure of the sectors is the same as the ratio of the radii squared.

3 0

3 years ago

Read 2 more answers

The distance from earth to the sun is thought to be 1.496 × 108 kilometers. What is this distance when in standard notation?

just olya [345]

Answer:

I think it is 149,600,000.

Step-by-step explanation:

If the 8 is supposed to be the exponent. Then you move the decimal 8 times to the right.

4 0

2 years ago

How would you make 45% a decimal

AlladinOne [14]

.45 Answer answer answer answer

6 0

3 years ago

Read 2 more answers

The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?

elena55 [62]

Answer:

The correct option is c.

Step-by-step explanation:

The given equation is

$15x+7y=15$

The given inequality is

$15x+7y\geq 15$

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

$15(0)+7(-3)\geq 15$

$-21\geq 15$

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

$15(-3)+7(0)\geq 15$

$-45\geq 15$

This statement is false, therefore option b is incorrect.

Check the point (3,3),

$15(3)+7(3)\geq 15$

$66\geq 15$

This statement is true, therefore option c is correct.

Check the point (-3,-3),

$15(-3)+7(-3)\geq 15$

$-66\geq 15$

This statement is false, therefore option d is incorrect.

7 0

2 years ago

Can someone help me with this problem, please?

Masja [62]

Answer:

Length = 2 ft

Width = 7/4 ft = 1.75 ft

Step-by-step explanation:

Length of room on blueprint = 1/8 *16 = 2 ft

Width of room on blueprint = 1/8 *14 = 7/4 ft = 1.75 ft

8 0

2 years ago